Find the indicated probabilities using the geometricdistribution, the Poissondistribution, or the binomial distribution. Then determine if the events are unusual. Ifconvenient, use the appropriate probability table or technology to find the probabilities.

A glass manufacturer finds that 1 in every 500 glass items produced is warped. Find the probability that(a) the first warped glass item is the 11th itemproduced, (b) the first warped item is thefirst, second, or third itemproduced, and(c) none of the first 10 glass items produced are defective.

(a) P(the first warped glass item is the 11th item produced)=

nothing

(Round to three decimal places asneeded.)